40654000576 has 112 divisors (see below), whose sum is σ = 94544993536. Its totient is φ = 16984940544.

The previous prime is 40654000573. The next prime is 40654000591. The reversal of 40654000576 is 67500045604.

It is a happy number.

40654000576 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40654000573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2904571 + ... + 2918533.

It is an arithmetic number, because the mean of its divisors is an integer number (844151728).

Almost surely, 2^40654000576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40654000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47272496768).

40654000576 is an abundant number, since it is smaller than the sum of its proper divisors (53890992960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40654000576 is a wasteful number, since it uses less digits than its factorization.

40654000576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146 (or 14136 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 40654000576 in words is "forty billion, six hundred fifty-four million, five hundred seventy-six", and thus it is an aban number.